%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV734-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 21:44:57 EDT 2022

% Result   : Unsatisfiable 0.38s 0.54s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   16 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;  13 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(189,axiom,
    equal(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_fun(u,tc_bool)),v),
    file('SWV734-1.p',unknown),
    [] ).

cnf(252,axiom,
    ( ~ c_in(u,c_Message_Oparts(v),tc_Message_Omsg)
    | ~ c_in(w,c_Message_Oparts(c_Set_Oinsert(u,x,tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(w,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(x,v,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    file('SWV734-1.p',unknown),
    [] ).

cnf(411,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(u,v),c_Message_Oparts(w),tc_Message_Omsg)
    | c_in(v,c_Message_Oparts(w),tc_Message_Omsg) ),
    file('SWV734-1.p',unknown),
    [] ).

cnf(485,axiom,
    c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('SWV734-1.p',unknown),
    [] ).

cnf(486,axiom,
    c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
    file('SWV734-1.p',unknown),
    [] ).

cnf(487,axiom,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('SWV734-1.p',unknown),
    [] ).

cnf(651,plain,
    c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[485,411]),
    [iquote('0:Res:485.0,411.0')] ).

cnf(707,plain,
    ( ~ c_in(v_X,c_Message_Oparts(u),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),u,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    inference(res,[status(thm),theory(equality)],[486,252]),
    [iquote('0:Res:486.0,252.1')] ).

cnf(737,plain,
    ( ~ c_in(v_X,c_Message_Oparts(u),tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(u),tc_Message_Omsg) ),
    inference(rew,[status(thm),theory(equality)],[189,707]),
    [iquote('0:Rew:189.0,707.1')] ).

cnf(752,plain,
    ~ c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[737,487]),
    [iquote('0:Res:737.1,487.0')] ).

cnf(754,plain,
    $false,
    inference(mrr,[status(thm)],[752,651]),
    [iquote('0:MRR:752.0,651.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV734-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 06:22:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.38/0.54  
% 0.38/0.54  SPASS V 3.9 
% 0.38/0.54  SPASS beiseite: Proof found.
% 0.38/0.54  % SZS status Theorem
% 0.38/0.54  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.38/0.54  SPASS derived 91 clauses, backtracked 0 clauses, performed 0 splits and kept 451 clauses.
% 0.38/0.54  SPASS allocated 76518 KBytes.
% 0.38/0.54  SPASS spent	0:00:00.17 on the problem.
% 0.38/0.54  		0:00:00.06 for the input.
% 0.38/0.54  		0:00:00.00 for the FLOTTER CNF translation.
% 0.38/0.54  		0:00:00.00 for inferences.
% 0.38/0.54  		0:00:00.00 for the backtracking.
% 0.38/0.54  		0:00:00.06 for the reduction.
% 0.38/0.54  
% 0.38/0.54  
% 0.38/0.54  Here is a proof with depth 2, length 11 :
% 0.38/0.54  % SZS output start Refutation
% See solution above
% 0.38/0.54  Formulae used in the proof : cls_Un__empty__left_0 cls_parts__cut_0 cls_parts_OBody_0 cls_conjecture_3 cls_conjecture_4 cls_conjecture_5
% 0.38/0.54  
%------------------------------------------------------------------------------